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olya-2409 [2.1K]
2 years ago
11

Suppose a car going 65 mph is traveling north parallel to a train going 50 mph. Once the front of the car is as far north as the

back of the train it takes another three minutes for the front of the car to be further north than the front of the train. How long is the train?​
Mathematics
1 answer:
scoray [572]2 years ago
6 0

Answer:

0.75 Miles

Step-by-step explanation:

To find the answer we have to find the difference in the distance the train and car travelled

65/60 is 1.083333 which is miles per minute then multiplied by 3 is 3.25 mile gone in 3 minutes

For the train it is 50/60 which is 0.833333 and the times 3 is 2.5 miles in three minutes

3.25 miles minus 2.5 miles is 0.75 miles so that is how long the train is

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Riley is saving up to buy a new television. She needs a total of $1,049.77. Riley has saved $200.79 already and earns $77.18 per
Xelga [282]

11 weeks are required for Riley to work to save enough money to buy the new television

<h3><u>Solution:</u></h3>

Given that Riley needs a total of $1,049.77

Riley has saved $200.79 already and earns $77.18 per week at her job

To find: Number of weeks Riley need to work to save enough money to buy the new television

Remaining amount needed = $1,049.77 -  $200.79

Remaining amount needed = $ 848.98

Let "n" be the number of weeks Riley need to work to save enough money to buy the new television

Also she earns $77.18 per week at her job

1 week ⇒ $ 77.18

"n" weeks ⇒ $ 848.98

Therefore, by cross multiplication,

n \times 77.18 = 1 \times 848.98\\\\n = \frac{848.98}{77.18}\\\\n = 11

Therefore 11 weeks are required for her to work to save enough money to buy the new television

<h3><u>Method 2:</u></h3>

<em>Total amount = amount already saved + ($77.18 per week at her job)("n" weeks)</em>

1,049.77 = 200.79 + (77.18)(n)

1049.77 - 200.79 = 77.18n

848.98 = 77.18n

n = \frac{848.98}{77.18}

n = 11

Therefore 11 weeks are required for her to work to save enough money to buy the new television

5 0
3 years ago
Variable y varies directly with variable x, and y = 6 when x = 9.
lesantik [10]
X and y are proportional hence when y is multiplied by a number, x is multiplied by the same number.

18=6*3 hence when y=18,x=9*3=27

x=27
5 0
3 years ago
Read 2 more answers
A composite figure is comprised of a square and 4 semicircles. How can you decompose the composite figure to determine its area?
tangare [24]

Answer:

As a square and four semi circles

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
1. Sharon and Geordi both worked hard over the summer. Together they eamed a total of $525. Geordi eamed $75
Svet_ta [14]

Answer:

a)

S+G=525

G=S+75

b) See attached pictures

c) S=$225 and G=$300

The point where both graphs meet each other is the point where both equations will be true when having the same S and G values. This is, this is the point where both conditions given by the problem are the same.

Step-by-step explanation:

a) For the first part of the problem, the addition of both amounts will give us the total, so the first equation is:

S+G=525.

On the second equation we need to add 75 to sharon's amount to figure Geordi's amount, so we get:

G=S+75

b) In order to graph the system of equations, we need to find two points for each of the equations. It would be a good idea to solve the first equation for g, so our system of equations would be:

G=525-S

G=S+75

First Equation:

You can pick any value you like for S, for example: S=0 and then substitute it into the equation to get te first G-value:

G=525-0

so G=525.

So the first ordered pair would be (0,525)

You can do the same with a different S-value to get a second point to plot:

S=100

G=525-100

G=424

so the second ordered pair would be (100,424)

and now you can plot the points on the graph and connect them with a straight line.

See attached picture.

Second Equation:

The same procedure is followed for the second equation, in this case I used the same S-values, but you can use different values if you wish, so the two points to plot were:

(0,75)

(100,175)

and the graph looks like the one attached.

c)

In order to figure out how much each person earned, we need to find the point where the two graphs meet each other (see attached picture) in this case the point will be located at (225,300)

This means that Sharon earned a total of $225 while Geordi earned a total of $300.

S=$225 and G=$300

The point where both graphs meet each other is the point where both equations will be true when having the same S and G values. This is, this is the point where both conditions given by the problem are the same.

5 0
2 years ago
CAN BOTS JUST PLEASE STOP REPOSTING THE SAME RESPONSE AND SOMEONE PLEASE HELP ME
Triss [41]

Answer:

y=-5x+-3

Step-by-step explanation:

the slope is negative and its rise over run so 5/1 which is five and the y intercept is -3

8 0
2 years ago
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